Coordinate Geometry Question 2

Question: If a vertex of an equilateral triangle is on origin and second vertex is (4, 0), then its third vertex is

Options:

A) $ (2,\pm \sqrt{3}) $

B) $ (3,\pm \sqrt{2}) $

C) $ (2,\pm 2\sqrt{3}) $

D) $ (3,\pm 2\sqrt{2}) $

Show Answer

Answer:

Correct Answer: C

Solution:

By inspection i.e. length of the three sides must be equal. We find the required point $ (2,\pm 2\sqrt{3}) $ .